distance from a point to a plane

Show Summary Details

Quick Reference

(in 3-dimensional space)

The distance from the point P to the plane p is the shortest distance between P and a point in p, and is equal to |PN|, where N is the point in p such that the line PN is normal to p. If P has coordinates (x1, y1, z1) and p has equation ax+by+cz+d=0, the distance from P to p is equal to

where |ax1+by1+cz1+d| is the absolute value of ax1+by1+cz1+d.

Subjects: Mathematics.

Reference entries

Users without a subscription are not able to see the full content. Please, subscribe or login to access all content.